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Finding the Fourth Proportional to 21,172.70, 31,759.12 and 7,142.58

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Solution

The fourth proportional to 21,172.70, 31,759.12 and 7,142.58 is: 10,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,172.70 : 31,759.12 = 7,142.58 : x
  2. Step 2: Convert to fraction form
    21,172.70/31,759.12 = 7,142.58/x
  3. Step 3: Cross multiply
    21,172.70x = 31,759.12 × 7,142.58
  4. Step 4: Simplify right side
    21,172.70x = 226,842,055.33
  5. Step 5: Solve for x
    x = 226,842,055.33/21,172.70
  6. Step 6: Final answer
    x = 10,713.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.